6643950480 has 240 divisors, whose sum is σ = 23488954944. Its totient is φ = 1744934400.

The previous prime is 6643950451. The next prime is 6643950539. The reversal of 6643950480 is 840593466.

6643950480 is a `hidden beast` number, since 6 + 64 + 3 + 9 + 504 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×6643950480³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299930 + ... + 1305030.

Almost surely, 2^6643950480 is an apocalyptic number.

6643950480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6643950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744477472).

6643950480 is an abundant number, since it is smaller than the sum of its proper divisors (16845004464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6643950480 is a wasteful number, since it uses less digits than its factorization.

6643950480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6643950480 is about 81510.4317250252. The cubic root of 6643950480 is about 1879.9319501549.

The spelling of 6643950480 in words is "six billion, six hundred forty-three million, nine hundred fifty thousand, four hundred eighty".